Question 1146638
 a tree standing vertically on the side of the hill makes an angle of 98 degrees with the side of the hill.
 At a point of 32 ft. down the slope, the trees subtends an angle of 35 degrees.
 find the height of the tree.
:
Let h = height of the tree
:
We can find the 3rd angle which is opposite 32 ft: 180 - 98 - 35 = 47 degrees
Use the law of sines
{{{h/sin(35)}}} = {{{32/sin(47)}}}
cross multiply
sin(47)*h = sin(35)*32
h = {{{18.3544/sin(47)}}}
h = 25.1 ft is the height of the tree